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CalculusQ&A LibraryThe positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2 in meters and t in seconds. a. At what time(s) in the interval 0<=t<=2pai do the particles meet? b. What is the farthest apart that the particles ever get? c. When in the interval 0<=t<=2pai is the distance between the particles changing the fastest?Question

Asked Jan 17, 2020

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The positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2 in meters and t in seconds. a. At what time(s) in the interval 0<=t<=2pai do the particles meet? b. What is the farthest apart that the particles ever get? c. When in the interval 0<=t<=2pai is the distance between the particles changing the fastest?

Step 1

The positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2 in meters and t in seconds.

- At what time(s) in the interval 0<=t<=2pai do the particles meet?
- What is the farthest apart that the particles ever get?
- When in the interval 0<=t<=2pai is the distance between the particles changing the fastest?

Step 2

Given the position of two masses is given by

Step 3

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